correct answer is: a) 3.5

Explanation

To find the required greatest number we need to find the HCF of the given numbers.
Here, given numbers are 3.5, 10.5 and 7.
Let, _{[Remove decimals for matching]}
3.5 = 35
10.5 = 105
7 = 70
So, HCF of 35,105 and 70 is = 35
So that, HCF of 3.5,10.5 and 7 is = 3.5 _{[put 1 digit after decimal point]}
\therefore 3.5 is the greatest number by which 3.5,10.5 and 7 must be divided so that the quotients are integers.
Ans: 3.5 is the greatest number.

Other forms of this specific math question are:

1. What is the largest number by which 3.5, 10.5 and 7 must be divided to obtain integer quotients?
2. Determine the greatest divisor that makes 3.5, 10.5 and 7 divisible with integer results.
3. Find the maximum number that divides 3.5, 10.5 and 7 evenly, resulting in whole numbers.
4. By what largest number can 3.5, 10.5 and 7 be divided to produce integers as quotients?